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Finding the Fourth Proportional to 3,841.68, 5,301.64 and 2,270.80

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Solution

The fourth proportional to 3,841.68, 5,301.64 and 2,270.80 is: 3,133.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,841.68 : 5,301.64 = 2,270.80 : x
  2. Step 2: Convert to fraction form
    3,841.68/5,301.64 = 2,270.80/x
  3. Step 3: Cross multiply
    3,841.68x = 5,301.64 × 2,270.80
  4. Step 4: Simplify right side
    3,841.68x = 12,038,964.11
  5. Step 5: Solve for x
    x = 12,038,964.11/3,841.68
  6. Step 6: Final answer
    x = 3,133.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.